Examination of Plastic Pack Belts (Ropes) via X-Ray Fluorescence Spectrometry Combined with Multivariate Statistical Analysis

Xiao Ma; Hong Jiang; Jiaqi Yang

doi:10.3788/LOP56.223005

Journals >Laser & Optoelectronics Progress >Volume 56 >Issue 22 >Page 223005 > Article

Laser & Optoelectronics Progress
Vol. 56, Issue 22, 223005 (2019)

Examination of Plastic Pack Belts (Ropes) via X-Ray Fluorescence Spectrometry Combined with Multivariate Statistical Analysis

Xiao Ma¹, Hong Jiang^1、2、*, and Jiaqi Yang¹

Author Affiliations

¹School of Forensic Science, People's Public Security University of China, Beijing 100038, China

²Key Laboratory of Evidence Science(China University of Political Science and Law), Ministry of Education, Beijing 100088, China

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DOI: 10.3788/LOP56.223005 Cite this Article Set citation alerts

Xiao Ma, Hong Jiang, Jiaqi Yang. Examination of Plastic Pack Belts (Ropes) via X-Ray Fluorescence Spectrometry Combined with Multivariate Statistical Analysis[J]. Laser & Optoelectronics Progress, 2019, 56(22): 223005 Copy Citation Text

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Fig. 1. Cluster analysis results of 32 plastic pack belt (rope) samples

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Fig. 2. Joint distribution map based on discriminant function

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Duration /s	Mass fraction of element /10^-6
Duration /s	Ca	Fe	Sn	Zn	Hg	Cl
50	62472	322	86	29	14	0
60	60653	395	59	58	13	0
70	77274	412	79	46	14	0
80	77638	422	76	46	14	0
90	63311	331	77	36	9	0
100	72440	384	60	44	11	0

Table 1. Optimal results of measurement time

MeasurementNo.	Mass fraction /%
MeasurementNo.		Ca					Fe	Sn	Zn	Cl
1	6253		523	65	58	1532
2	6206		530	55	55	1297
3	6368		543	56	54	1455
4	6802		578	63	57	1506
Averagevalue	6407.25		543.5	59.75	56	1447.5
Standarddeviation	271.8227		24.4472	4.9917	1.8257	105.3075
Relativestandarddeviation /%	4.24		4.50	8.35	3.26	7.28

Table 2. Calculation results of relative standard deviation

Sample No.	Parameter	5^#	7^#	10^#	15^#	20^#	28^#
5^#	Pearson coefficient	1
5^#	Sig. (2-tailed)
7^#	Pearson coefficient	0.985^**	1
7^#	Sig. (2-tailed)	0
10^#	Pearson coefficient	0.892^**	0.878^**	1
10^#	Sig. (2-tailed)	0	0
15^#	Pearson coefficient	0.737^**	0.683^*	0.813^**	1
15^#	Sig. (2-tailed)	0.010	0.020	0.002
20^#	Pearson coefficient	0.884^**	0.862^**	0.992^**	0.881^**	1
20^#	Sig. (2-tailed)	0	0.001	0	0
28^#	Pearson coefficient	0.891^**	0.872^**	0.998^**	0.851^**	0.998^**	1
28^#	Sig. (2-tailed)	0	0	0	0.001	0
Note: ^*Correlation is significant at the 0.01 level (2-tailed), and ^Correlation is significant at the 0.05 level (2-tailed).

Table 3. Correlation analysis results of six plastic pack belt (rope) samples

FunctionNo.	Eigenvalue	Variance/%	Cumulation/%	Canonicalcorrelation
1	73.171^a	96.3	96.3	0.993
2	2.263^a	3.0	99.3	0.833
3	0.544^a	0.7	100.0	0.059
Note: a represents the first 3 canonical discriminant functions were used in the analysis.

Table 4. Eigenvalue table of discriminant function

Element	Function 1	Function 2	Function 3
Ca	-0.797^*	-0.099	-0.148
Fe	-0.092^*	0.054	-0.089
Cl	-0.034	0.359^*	-0.121
Zn	-0.092	-0.195^*	-0.051
Ti	-0.038	-0.24	0.422^*
Ba	0.002	-0.002	-0.106^*
Sn	0.039	-0.004	-0.052^*

Table 5. Structural matrix of discriminant function

Classification	Sample No.
Ⅰ	1^#,2^#,5^#,7^#,8^#,9^#,13^#,14^#,17^#,18^#,19^#,22^#,24^#,26^#,27^#,29^#,31^#,32^#
Ⅱ	4^#、6^#、12^#、15^#、21^#、30^#
Ⅲ	3^#、16^#
Ⅳ	10^#,11^#,20^#,23^#,25^#,28^#

Table 6. Hierarchical clustering results of 32 plastic pack belt (rope) samples

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